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Finding the Fourth Proportional to 986.28, 1,475.10 and 804.84

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Solution

The fourth proportional to 986.28, 1,475.10 and 804.84 is: 1,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,475.10 = 804.84 : x
  2. Step 2: Convert to fraction form
    986.28/1,475.10 = 804.84/x
  3. Step 3: Cross multiply
    986.28x = 1,475.10 × 804.84
  4. Step 4: Simplify right side
    986.28x = 1,187,219.48
  5. Step 5: Solve for x
    x = 1,187,219.48/986.28
  6. Step 6: Final answer
    x = 1,203.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.